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Simplifying 10(-5x + -7) = -8(5x + 10) Reorder the terms: 10(-7 + -5x) = -8(5x + 10) (-7 * 10 + -5x * 10) = -8(5x + 10) (-70 + -50x) = -8(5x + 10) Reorder the terms: -70 + -50x = -8(10 + 5x) -70 + -50x = (10 * -8 + 5x * -8) -70 + -50x = (-80 + -40x) Solving -70 + -50x = -80 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -70 + -50x + 40x = -80 + -40x + 40x Combine like terms: -50x + 40x = -10x -70 + -10x = -80 + -40x + 40x Combine like terms: -40x + 40x = 0 -70 + -10x = -80 + 0 -70 + -10x = -80 Add '70' to each side of the equation. -70 + 70 + -10x = -80 + 70 Combine like terms: -70 + 70 = 0 0 + -10x = -80 + 70 -10x = -80 + 70 Combine like terms: -80 + 70 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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